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Finding the Fourth Proportional to 279.45, 417.56 and 264.87

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Solution

The fourth proportional to 279.45, 417.56 and 264.87 is: 395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 417.56 = 264.87 : x
  2. Step 2: Convert to fraction form
    279.45/417.56 = 264.87/x
  3. Step 3: Cross multiply
    279.45x = 417.56 × 264.87
  4. Step 4: Simplify right side
    279.45x = 110,597.79
  5. Step 5: Solve for x
    x = 110,597.79/279.45
  6. Step 6: Final answer
    x = 395.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.